A Mathematical Theory of Big Data

A Mathematical Theory of Big Data

DOI: 

https://doi.org/10.30564/jcsr.v4i2.4646

Abstract

This article presents a cardinality approach to big data, a fuzzy logicbased approach to big data, a similarity-based approach to big data, and a logical approach to the marketing strategy of social networking services. All these together constitute a mathematical theory of big data. This article also examines databases with infinite attributes. The research results reveal that relativity and infinity are two characteristics of big data. The relativity of big data is based on the theory of fuzzy sets. The relativity of big data leads to the continuum from small data to big data, big data-driven small data analytics to become statistical significance. The infinity of big data is based on the calculus and cardinality theory. The infinity of big data leads to the infinite similarity of big data. The proposed theory in this article might facilitate the mathematical research and development of big data, big data analytics, big data computing, and data science with applications in intelligent business analytics and business intelligence.

Keywords: 

Big data, Big data analytics, Fuzzy logic, Similarity, Discrete mathematics

Comments

Post a Comment

Popular posts from this blog

𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐨𝐟 𝐀𝐭𝐦𝐨𝐬𝐩𝐡𝐞𝐫𝐢𝐜 𝐒𝐜𝐢𝐞𝐧𝐜𝐞 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 | 𝐕𝐨𝐥𝐮𝐦𝐞 𝟎𝟔 | 𝐈𝐬𝐬𝐮𝐞 𝟎𝟐 | 𝐀𝐩𝐫𝐢𝐥 𝟐𝟎𝟐𝟑

Image
 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐨𝐟 𝐀𝐭𝐦𝐨𝐬𝐩𝐡𝐞𝐫𝐢𝐜 𝐒𝐜𝐢𝐞𝐧𝐜𝐞 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 | 𝐕𝐨𝐥𝐮𝐦𝐞 𝟎𝟔 | 𝐈𝐬𝐬𝐮𝐞 𝟎𝟐 | 𝐀𝐩𝐫𝐢𝐥 𝟐𝟎𝟐𝟑 💠 Investigating the Effects of Madden-Julian Oscillation on Climate Elements of Iran (1980-2020) In this research, the effects of Madden-Julian fluctuation on the weather elements of Iran have been investigated with the aim of knowing the effects of different phases in order to improve the quality of forecasts and benefits in territorial planning. #Madden-Julian_oscillation #Tropical_convection #precipitation #Long-wave_radiation #Sub-seasonal_oscillation DOI: https://doi.org/10.30564/jasr.v6i2.5351 💠 Formation and Transport of a Saharan Dust Plume in Early Summer The authors use satellite observations and ground-based measurements to evaluate the WRF-Chem simulations.  #Dust_storm #WRF-Chem #Convection-permitting #Parameterization #MCS DOI: https://doi.org/10.30564/jasr.v6i2.5407 💠 Wavelet Analysis of Average Monthly Temperature New Delhi ...
Read more

Impact of Polymer Coating on the Flexural Strength and Deflection Characteristics of Fiber-Reinforced Concrete Beams

Image
Impact of Polymer Coating on the Flexural Strength and Deflection Characteristics of Fiber-Reinforced Concrete Beams DOI:  https://doi.org/10.30564/jbms.v4i2.5304 Abstract Liquid polymers (LP) have become an important structural material used in the construction industry in the last decade. This paper investigates the viability of using commercially available LPs as a coating material to improve the flexural strength of fiber-modified concrete beams. The scope included preparing rectangular prism concrete beams with a concrete mixture including fly ash and fiber and coating them with four different liquid polymers at a uniform thickness following the curing process while one set of samples was maintained under the same conditions as a control group without coating. In addition, cylindrical samples were prepared to determine the compressive strength of the concrete mixture. Following the curing process in an unconfined open-air laboratory environment for another 28 days, concrete sa...
Read more

𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐨𝐟 𝐀𝐭𝐦𝐨𝐬𝐩𝐡𝐞𝐫𝐢𝐜 𝐒𝐜𝐢𝐞𝐧𝐜𝐞 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 | 𝐕𝐨𝐥𝐮𝐦𝐞 𝟎𝟔 | 𝐈𝐬𝐬𝐮𝐞 𝟎𝟑 | 𝐉𝐮𝐥𝐲 𝟐𝟎𝟐𝟑

Image
   𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐨𝐟 𝐀𝐭𝐦𝐨𝐬𝐩𝐡𝐞𝐫𝐢𝐜 𝐒𝐜𝐢𝐞𝐧𝐜𝐞 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 | 𝐕𝐨𝐥𝐮𝐦𝐞 𝟎𝟔 | 𝐈𝐬𝐬𝐮𝐞 𝟎𝟑 | 𝐉𝐮𝐥𝐲 𝟐𝟎𝟐𝟑 💠 Role of Different Moisture Sources in Driving the Western Himalayan Past-glacier Advances 👉 The insights gained from this synthesis will help us understand the dynamics of glacier response to climate change, which will be valuable for future climate modelling. #Glacial_chrono_stratigraphy #Dating_technique_limits #Climate_drivers #Western_Himalaya #India 🔗 DOI:  https://doi.org/10.30564/jasr.v6i3.5581 ✉ Email: jasr@bilpubgroup.com 👩‍💼 Managing Editor: Lesley Lu 💠 Relationship and Variability of Atmospheric Precipitation Characteristics in the North-West of Ukraine 👉 The paper deals with the issues of differentiation of atmospheric precipitation into gradations according to their characteristics and established meteorological practices. #Precipitation #Gradation #Intensity #Duration #Shower 🔗 DOI:  https://doi.org/10.30564/j...
Read more